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Finding the Fourth Proportional to 1,136.41, 1,704.45 and 405.88

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Solution

The fourth proportional to 1,136.41, 1,704.45 and 405.88 is: 608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.41 : 1,704.45 = 405.88 : x
  2. Step 2: Convert to fraction form
    1,136.41/1,704.45 = 405.88/x
  3. Step 3: Cross multiply
    1,136.41x = 1,704.45 × 405.88
  4. Step 4: Simplify right side
    1,136.41x = 691,802.17
  5. Step 5: Solve for x
    x = 691,802.17/1,136.41
  6. Step 6: Final answer
    x = 608.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.